D-branes, RR-fields and duality on noncommutative manifolds

被引：35

作者：

Brodzki, Jacek ^{[1
]}

Mathai, Varghese ^{[2
]}

Rosenberg, Jonathan ^{[3
]}

Szabo, Richard J. ^{[4
,5
]}

机构：

[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

[2] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[4] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[5] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2008年 / 277卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00220-007-0396-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncommutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincare duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.

引用

页码：643 / 706

页数：64

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